Finding the Third Proportional to 23,202 and 37,359

Step by Step Solution

1. Step 1: Write the proportion equation
   23,202 : 37,359 = 37,359 : x
2. Step 2: Convert to fraction form
   23,202/37,359 = 37,359/x
3. Step 3: Cross multiply
   23,202x = 37,359 × 37,359
4. Step 4: Simplify right side
   23,202x = 1,395,694,881
5. Step 5: Solve for x
   x = 1,395,694,881/23,202
6. Step 6: Final answer
   x = 60,154.08